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Finding the Fourth Proportional to 2,138.64, 3,207.24 and 906

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Solution

The fourth proportional to 2,138.64, 3,207.24 and 906 is: 1,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.64 : 3,207.24 = 906 : x
  2. Step 2: Convert to fraction form
    2,138.64/3,207.24 = 906/x
  3. Step 3: Cross multiply
    2,138.64x = 3,207.24 × 906
  4. Step 4: Simplify right side
    2,138.64x = 2,905,759.44
  5. Step 5: Solve for x
    x = 2,905,759.44/2,138.64
  6. Step 6: Final answer
    x = 1,358.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.